9996889760 has 192 divisors, whose sum is σ = 27831009024. Its totient is φ = 3345408000.

The previous prime is 9996889759. The next prime is 9996889781. The reversal of 9996889760 is 679886999.

9996889760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13750517 + ... + 13751243.

It is an arithmetic number, because the mean of its divisors is an integer number (144953172).

Almost surely, 2^9996889760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915504512).

9996889760 is an abundant number, since it is smaller than the sum of its proper divisors (17834119264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9996889760 is a wasteful number, since it uses less digits than its factorization.

9996889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 71.

The square root of 9996889760 is about 99984.4475906128. The cubic root of 9996889760 is about 2154.2113065727.

The spelling of 9996889760 in words is "nine billion, nine hundred ninety-six million, eight hundred eighty-nine thousand, seven hundred sixty".